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Finding the Fourth Proportional to 1,153.14, 1,729.72 and 331.40

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Solution

The fourth proportional to 1,153.14, 1,729.72 and 331.40 is: 497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.14 : 1,729.72 = 331.40 : x
  2. Step 2: Convert to fraction form
    1,153.14/1,729.72 = 331.40/x
  3. Step 3: Cross multiply
    1,153.14x = 1,729.72 × 331.40
  4. Step 4: Simplify right side
    1,153.14x = 573,229.21
  5. Step 5: Solve for x
    x = 573,229.21/1,153.14
  6. Step 6: Final answer
    x = 497.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.